Saeed Saremi: Correlated percolation, fractal dimensions, and scale-invariant distribution of clusters in natural images
Talk by Saeed Saremi, of the Salk Institute. Given to the Redwood Center for Theoretical Neuroscience at UC Berkeley.
Natural images are scale invariant. After a quick tutorial on percolation, I will talk about formulating a geometric view of scale invariance based on percolation theory. In this model, the scale invariance of natural images is understood as a second-order percolation phase transition. It is further quantified by fractal dimensions, and by anomalous exponents for the distribution of clusters in natural images. This formulation leads to a method for identifying clusters in images and a starting point for image segmentation.